Least Common Multiple (LCM) of 175 and 59
The least common multiple (LCM) of 175 and 59 is 10325.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 175 and 59?
First, calculate the GCD of 175 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 59 = 2 remainder 57 |
| 2 | 59 ÷ 57 = 1 remainder 2 |
| 3 | 57 ÷ 2 = 28 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 67 | 12261 |
| 126 and 87 | 3654 |
| 188 and 78 | 7332 |
| 192 and 133 | 25536 |
| 60 and 172 | 2580 |